1100444265008 has 80 divisors (see below), whose sum is σ = 2365894465920. Its totient is φ = 491613196800.

The previous prime is 1100444264977. The next prime is 1100444265061. The reversal of 1100444265008 is 8005624440011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61225463 + ... + 61243433.

It is an arithmetic number, because the mean of its divisors is an integer number (29573680824).

Almost surely, 2^{1100444265008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100444265008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182947232960).

1100444265008 is an abundant number, since it is smaller than the sum of its proper divisors (1265450200912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100444265008 is a wasteful number, since it uses less digits than its factorization.

1100444265008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23946 (or 23940 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 1100444265008 in words is "one trillion, one hundred billion, four hundred forty-four million, two hundred sixty-five thousand, eight".